Least Common Multiple of 4520 and 4525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4520 and 4525 the smallest integer that is 4090600 that is divisible by both numbers.

Least Common Multiple (LCM) of 4520 and 4525 is 4090600.

LCM(4520,4525) = 4090600

LCM of 4520 and 4525

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4520 and 4525

LCM of 4520 and 4525 is 4090600

Least common multiple can be found by multiplying the highest exponent prime factors of 4520 and 4525. First we will calculate the prime factors of 4520 and 4525.

Prime Factorization of 4520


2 4520
2 2260
2 1130
5 565
113 113
1

Prime factors of 4520 are 2, 5,113. Prime factorization of 4520 in exponential form is:

4520 = 23×51×1131

Prime Factorization of 4525


5 4525
5 905
181 181
1

Prime factors of 4525 are 5,181. Prime factorization of 4525 in exponential form is:

4525 = 52×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 4520 and 4525.

LCM(4520,4525) = 23×52×1131×1811
LCM(4520,4525) = 4090600

Factors of 4520

List of positive integer factors of 4520 that divides 4520 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520

Factors of 4525

List of positive integer factors of 4525 that divides 4525 without a remainder.

1, 5, 25, 181, 905, 4525

Least Common Multiple of 4520 and 4525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4520 and 4525, than apply into the LCM equation.

GCF(4520,4525) = 5
LCM(4520,4525) = ( 4520 × 4525) / 5
LCM(4520,4525) = 20453000 / 5
LCM(4520,4525) = 4090600

Properties of LCM 4520 and 4525

(i) The LCM of 4525 and 4520 is associative

LCM of 4520 and 4525 = LCM of 4525 and 4520

Related Least Common Multiples of 4520

Related Least Common Multiples of 4525

Frequently Asked Questions on LCM of 4520 and 4525

1. What is the LCM of 4520 and 4525?

Answer: LCM of 4520 and 4525 is 4090600.

2. What are the Factors of 4520?

Answer: Factors of 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520. There are 16 integers that are factors of 4520. The greatest factor of 4520 is 4520.

3. What are the Factors of 4525?

Answer: Factors of 4525 are 1, 5, 25, 181, 905, 4525. There are 6 integers that are factors of 4525. The greatest factor of 4525 is 4525.

4. How to Find the LCM of 4520 and 4525?

Answer:

Least Common Multiple of 4520 and 4525 = 4090600

Step 1: Find the prime factorization of 4520

4520 = 2 x 2 x 2 x 5 x 113

Step 2: Find the prime factorization of 4525

4525 = 5 x 5 x 181

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 4090600 = 2 x 2 x 2 x 5 x 5 x 113 x 181

Step 4: Therefore, the least common multiple of 4520 and 4525 is 4090600.